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allsm [11]
3 years ago
5

the Jelly Junior High School color is made by mixing red paint with yellow paint . the ratio of red to yellow is 3 to 5 . how mu

ch red paint should be mixed with 20oz of yellow
Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0
To get the answer we can use proportion
3 red ----------------- 5 yellow
x red ----------------- 20 yellow
Crossmultiply now
3*20=5x            
60=5x        /:5    (divide both sides by 5)
60:5=5x:5
12=x - its the answer
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An accounting firm is planning for the next tax preparation season. From last years returns, the firm collects a systematic rand
Elena L [17]

Answer:

a)From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

b) We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Part a

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error for the mean would be:

\sigma_{\bar X}= \frac{140}{\sqrt{100}} =14

Part b

We want this probability:

P(\bar X >120)

And we can use the z score formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And replacing we got:

z = \frac{120-90}{\frac{140}{\sqrt{100}}}= 2.143

And we can find this probability with the complement rule and the normal standard deviation or excel and we got:

P( z>2.143) = 1-P(Z

4 0
3 years ago
Solve the system <br><br><br> x - 2y = -6<br> 3x + y = -4
stepan [7]


{x-2y=-6

{3x+y=-4     /*2

{x-2y=-6

<u>{6x+2y=-8     </u> (+)

7x=-14    /:7

x=-2

3x+y=-4

3*(-2)+y=-4

-6+y=-4

y=2

Solution:  (-2; 2)

5 0
3 years ago
Put these number in order from least to greatest 6/40 11/20 -7/25 6
egoroff_w [7]

Answer:

-7/25, 6/40, 11/20, 6

Step-by-step explanation:

4 0
3 years ago
A national survey of middle school students asks how many hours of sleep they get on school nights. Which sample ​best​ represen
mariarad [96]

Answer:

D

Step-by-step explanation:

It wouldnt be a single grade being surveyed so we would choose d in additon a and b isnt national since it says 'in a certain town' and 'in a certain county'.

Which leaves you with D.

5 0
2 years ago
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scal
snow_tiger [21]

Answer:

3rad5

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  =  {c}^{2} \\  {a }^{2}  +  {6}^{2}  =  {9}^{2} \\  {a }^{2}   + 36 = 81 \\  {a}^{2}  + 81 - 36 \\  {a}^{2}  = 45 \\  \sqrt{a}  =  \sqrt{45} \\ a = 3 \sqrt{5}

7 0
3 years ago
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